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11331132010003 = 13171971451179369
BaseRepresentation
bin1010010011100011110000…
…0110010010111000010011
31111010020122001221200020001
42210320330012102320103
52441122124243310003
640033241123430431
72246435004630361
oct244707406227023
944106561850201
1011331132010003
1136795626880a3
121330071225417
136426a0cc5550
142b26031d4631
15149b3704c61d
hexa4e3c192e13

11331132010003 has 32 divisors (see below), whose sum is σ = 12995175695040. Its totient is φ = 9787466035200.

The previous prime is 11331132009973. The next prime is 11331132010021. The reversal of 11331132010003 is 30001023113311.

It is a cyclic number.

It is not a de Polignac number, because 11331132010003 - 241 = 9132108754451 is a prime.

It is a super-3 number, since 3×113311320100033 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11331132010903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63082503 + ... + 63261871.

It is an arithmetic number, because the mean of its divisors is an integer number (406099240470).

Almost surely, 211331132010003 is an apocalyptic number.

11331132010003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11331132010003 is a deficient number, since it is larger than the sum of its proper divisors (1664043685037).

11331132010003 is a wasteful number, since it uses less digits than its factorization.

11331132010003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181047.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 11331132010003 its reverse (30001023113311), we get a palindrome (41332155123314).

The spelling of 11331132010003 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-two million, ten thousand, three".

Divisors: 1 13 17 197 221 1451 2561 3349 18863 24667 43537 179369 285847 320671 2331797 3049273 3716011 4859399 35335693 39640549 63172187 260264419 459364009 600706781 3383437447 4424495123 7809188153 51272090543 57518436599 666537177059 871625539231 11331132010003